Mathematics 7 (Grade 6/7)
Unit 4: Geometry (7.G)
Students continue their work with area from Mathematics 6, solving problems involving the area and circumference of a circle and surface area of threedimensional objects. In preparation for work on congruence and similarity in Grade 8 they reason about relationships among informal geometric constructions. Students work with threedimensional figures, relating them to twodimensional figures by examining crosssections. They solve realworld and mathematical problems involving area, surface area, and volume of twoand threedimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
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What will my child learn?
Students will:
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
7.G.A.3
Describe the twodimensional figures that result from slicing threedimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Solve reallife and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
7.G.B.6
Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Students will:
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
 Background Info. & Guided Practice
 Check for Understanding: Constructing Triangles
 Review/Rewind: Constructing A Triangle Using Three Given Side Measures
7.G.A.3
Describe the twodimensional figures that result from slicing threedimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
 Background Info. & Guided Practice
 Check for Understanding: Cross sections of 3D objects (basic)
 Review/Rewind: Describe Dimensional Cross Sections of Right Rectangular Prisms
 Enrichment Tasks: Cube Ninjas!
Solve reallife and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
 Background Info. & Guided Practice
 Check for Understanding: Area of a Circle  Area and Circumference of Circles  Radius, Diameter and Circumference
 Review/Rewind: Labeling Parts of a Circle  Area of a Circle  Circumference of a Circle
 Enrichment Tasks: Measuring the area of a circle*  Designs*
7.G.B.6
Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
 Check for Understanding: Surface Area  Solid Geometry
 Review/Rewind: Solve realworld problems involving the volume of rectangular prisms by using a formula  Volume & Surface Area
 Enrichment Tasks: Sand Under the Swing Set*  Drinking the Lake
What are some signs of student mastery?

Tools & Technology
GeoGebra is a dynamic math software tool that allows users to explore geometry, algebra, tables, graphing, statistics and other areas of math in one easytouse package. It can be downloaded for FREE on a computer or tablet device. Dunk Tank: In this interactive game, learners explore how to calculate diameter, radius and circumference. It also introduces the concept of pi and its relationship to circle area and circumference. 
More 4 U
Watch a video of a seventh grade teacher extending the concepts in this unit to discovering the formula for the surface area of a cylinder. Source: The Teaching Channel
